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A person withdrew ₹ 4,560 from his bank account on 4th of a month and deposited ₹ 2,567 on 20th of the same month. If at the end of the month, balance is ₹ 3,125, then money (in ₹) at the start of the month in his account was :

  • A.5,128
  • B.5,118
  • C.4,998
  • D.5,213

Answer: B

The balance at the start of the month was ₹ 5,118.

Work backwards from the closing balance: undo the deposit by subtracting it, and undo the withdrawal by adding it back.

\[ \begin{aligned} \text{Start} - 4560 + 2567 &= 3125 \\ \text{Start} &= 3125 + 4560 - 2567 \\ &= 7685 - 2567 = 5118 \end{aligned} \]

Check: 5118 − 4560 = 558, and 558 + 2567 = 3125, the stated closing balance.

The other values do not survive this check: 5,128 is ten more than the correct balance, and 4,998 and 5,213 come from adding or subtracting the wrong amounts.

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